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A modified Generalized Least Squares method for large scale nuclear data evaluation
- Source :
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Elsevier, 2017, 841, pp.87-96. ⟨10.1016/j.nima.2016.10.006⟩, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2017, 841, pp.87-96. ⟨10.1016/j.nima.2016.10.006⟩
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
-
Abstract
- International audience; Nuclear data evaluation aims to provide estimates and uncertainties in the form of covariance matrices of cross sections and related quantities. Many practitioners use the Generalized Least Squares (GLS) formulas to combine experimental data and results of model calculations in order to determine reliable estimates and covariance matrices. A prerequisite to apply the GLS formulas is the construction of a prior covariance matrix for the observables from a set of model calculations. Modern nuclear model codes are able to provide predictions for a large number of observables. However, the inclusion of all observables may lead to a prior covariance matrix of intractable size. Therefore, we introduce mathematically equivalent versions of the GLS formulas to avoid the construction of the prior covariance matrix. Experimental data can be incrementally incorporated into the evaluation process, hence there is no upper limit on their amount. We demonstrate the modified GLS method in a tentative evaluation involving about three million observables using the code TALYS. The revised scheme is well suited as building block of a database application providing evaluated nuclear data. Updating with new experimental data is feasible and users can query estimates and correlations of arbitrary subsets of the observables stored in the database.
- Subjects :
- Physics
Nuclear and High Energy Physics
Scale (ratio)
Generalized Least Squares
010308 nuclear & particles physics
Covariance matrix
Nuclear data
Generalized least squares
Covariance
[PHYS.NEXP]Physics [physics]/Nuclear Experiment [nucl-ex]
Bayesian statistics
01 natural sciences
Nuclear data evaluation
0103 physical sciences
Limit (mathematics)
010306 general physics
Instrumentation
Algorithm
Block (data storage)
Subjects
Details
- Language :
- English
- ISSN :
- 01689002 and 18729576
- Database :
- OpenAIRE
- Journal :
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Elsevier, 2017, 841, pp.87-96. ⟨10.1016/j.nima.2016.10.006⟩, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2017, 841, pp.87-96. ⟨10.1016/j.nima.2016.10.006⟩
- Accession number :
- edsair.doi.dedup.....bc65d322adcae87897fcfb669b69c30f
- Full Text :
- https://doi.org/10.1016/j.nima.2016.10.006⟩